Hilbert's seventh problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns the irrationality and transcendence of...

more general Gelfond–Schneider theorem, which solved the part of Hilbert's seventh problem described below. The square root of the Gelfond–Schneider constant...

Hilbert's thirteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails proving whether...

Sylvia; Gruber, David (21 August 2006). "Manifold Destiny: A legendary problem and the battle over who solved it". The New Yorker. Archived from the original...

207879576\ldots } The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem. Lindemann–Weierstrass theorem Baker's theorem; an extension of...

circle Proof that e is irrational Lindemann–Weierstrass theorem Hilbert's seventh problem Gelfond–Schneider theorem Erdős–Borwein constant Liouville number...

whether eπ is a Liouville number. The constant was mentioned in Hilbert's seventh problem alongside the Gelfond–Schneider constant 2√2 and the name "Gelfond's...

squaring the circle. In 1900 David Hilbert posed a question about transcendental numbers, Hilbert's seventh problem: If a is an algebraic number that is...

Millennium Prize Problems Simon problems Taniyama's problems Hilbert's problems Thurston's 24 questions Smale, Steve (1998). "Mathematical Problems for the Next...

Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as...

significant results being obtained on the Goldbach conjecture and Hilbert's seventh problem. Ricci moved to the University of Milan towards the end of 1936...

the Gelfond–Schneider theorem, which itself is a solution to Hilbert's seventh problem. Specifically, Baker showed that if α 1 , . . . , α n {\displaystyle...

all equal to 1 or −1? Hilbert's fifteenth problem: put Schubert calculus on a rigorous foundation. Hilbert's sixteenth problem: what are the possible...

computational complexity theory—most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich's theorem or the MRDP theorem)...

functions of two variables. Hilbert's 13th problem was the conjecture this was not possible in the general case for seventh-degree equations. Vladimir...

A. A.; Osipov, Yu. S.; Sinai, Ya. G.; Arnold, V. I. (eds.), "Hilbert's Seventh Problem", Mathematical Events of the Twentieth Century, Springer Berlin...

for example, Hilbert's tenth problem which is RE-complete. A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. Like P vs...

The seventh generation of home video game consoles began on November 22, 2005, with the release of Microsoft's Xbox 360 home console. This was followed...

set. Unsolved problem in mathematics Is 78,557 the smallest Sierpiński number? More unsolved problems in mathematics The Sierpiński problem asks for the...

the seventh power of a number was called the "second sursolid". Leonard Eugene Dickson studied generalizations of Waring's problem for seventh powers...

on Hilbert's second lecture on the foundations of mathematics," 480-484. In 1920 Weyl, Hilbert's prize pupil, sided with Brouwer against Hilbert. But...

A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84–89...

Noether extended Hilbert's theorem to representations of a finite group over any field; the new case that did not follow from Hilbert's work is when the...

four-dimensional space bounded by twenty-four squares and eight cubes. Hilbert's third problem asked whether every two equal-volume polyhedra could always be...

defined as the set of problems having a polynomial-time many-one reduction to the existential theory of the reals. Hilbert's tenth problem, on the (undecidable)...

28 matches. This is also equivalent to the handshake problem and fully connected network problems. One way of calculating the depreciation of an asset...

{\displaystyle \neg \neg A\to A} A → ¬ ¬ A {\displaystyle A\to \neg \neg A} Hilbert's axiom system: A → ( B → A ) {\displaystyle A\to (B\to A)} ( A → ( B →...

of Hilbert's 19th and 16th problems, and discovered what are now called Petrovsky lacunas. He also worked on the theories of boundary value problems, probability...

numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after Eugène...

Børge Jessen studied orthoschemes extensively in connection with Hilbert's third problem. Orthoschemes, also called path-simplices in the applied mathematics...